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We present a novel solution technique for the blind subspace deconvolution (BSSD) problem, where temporal convolution of multidimensional hidden independent components is observed and the task is to uncover the hidden components using the…

Methodology · Statistics 2012-01-04 Zoltan Szabo , Barnabas Poczos , Andras Lorincz

Derivative-free Bayesian inversion is an important task in many science and engineering applications, particularly when computing the forward model derivative is computationally and practically challenging. In this paper, we introduce…

Machine Learning · Computer Science 2026-01-06 Hongkai Zheng , Austin Wang , Zihui Wu , Zhengyu Huang , Ricardo Baptista , Yisong Yue

A growing number of weak- and unsupervised machine learning approaches to anomaly detection are being proposed to significantly extend the search program at the Large Hadron Collider and elsewhere. One of the prototypical examples for these…

High Energy Physics - Phenomenology · Physics 2021-08-11 Kees Benkendorfer , Luc Le Pottier , Benjamin Nachman

In [L. Chen and R. Li, Journal of Scientific Computing, Vol. 68, pp. 1172--1197, (2016)], an integrated linear reconstruction was proposed for finite volume methods on unstructured grids. However, the geometric hypothesis of the mesh to…

Numerical Analysis · Mathematics 2018-04-24 Li Chen , Guanghui Hu , Ruo Li

We present a novel derivative-free interpolation based optimization algorithm. A trust-region method is used where a surrogate model is realized via an interpolation framework. The framework for interpolation is provided by Universal…

Optimization and Control · Mathematics 2018-05-31 Tom Lefebvre , Frederik De Belie , Guillaume Crevecoeur

This paper presents a new linear hyperspectral unmixing method of the minimum volume class, termed \emph{simplex identification via split augmented Lagrangian} (SISAL). Following Craig's seminal ideas, hyperspectral linear unmixing amounts…

Optimization and Control · Mathematics 2016-11-17 Jose Bioucas-Dias

In this paper we are concerned with the global minimization of a possibly non-smooth and non-convex objective function constrained on the unit hypersphere by means of a multi-agent derivative-free method. The proposed algorithm falls into…

Optimization and Control · Mathematics 2021-04-02 Massimo Fornasier , Hui Huang , Lorenzo Pareschi , Philippe Sünnen

The additive model is a popular nonparametric regression method due to its ability to retain modeling flexibility while avoiding the curse of dimensionality. The backfitting algorithm is an intuitive and widely used numerical approach for…

Methodology · Statistics 2023-02-28 Yi Zhang , Lin Wang , Xiaoke Zhang , HaiYing Wang

The choice of unfolding method for a cross-section measurement is tightly coupled to the model dependence of the efficiency correction and the overall impact of cross-section modeling uncertainties in the analysis. A key issue is the…

Data Analysis, Statistics and Probability · Physics 2025-07-14 Roger G. Huang , Andrew Cudd , Masaki Kawaue , Tatsuya Kikawa , Benjamin Nachman , Vinicius Mikuni , Callum Wilkinson

The Iteratively Smoothing Unigrid algorithm (ISU), a new multigrid method for computing propagators in Lattice Gauge Theory, is explained. The main idea is to compute good (i.e.\ smooth) interpolation operators in an iterative way. This…

High Energy Physics - Lattice · Physics 2009-10-28 Martin Baker

This article presents an original methodology for the prediction of steady turbulent aerodynamic fields. Due to the important computational cost of high-fidelity aerodynamic simulations, a surrogate model is employed to cope with the…

Fluid Dynamics · Physics 2019-12-05 Romain Dupuis , Jean-Christophe Jouhaud , Pierre Sagaut

The unsupervised task of aligning two or more distributions in a shared latent space has many applications including fair representations, batch effect mitigation, and unsupervised domain adaptation. Existing flow-based approaches estimate…

Machine Learning · Computer Science 2022-03-17 Zeyu Zhou , Ziyu Gong , Pradeep Ravikumar , David I. Inouye

In many real-world inverse problems, only incomplete measurement data are available for training which can pose a problem for learning a reconstruction function. Indeed, unsupervised learning using a fixed incomplete measurement process is…

Machine Learning · Statistics 2022-09-30 Julián Tachella , Dongdong Chen , Mike Davies

Machine unlearning strives to uphold the data owners' right to be forgotten by enabling models to selectively forget specific data. Recent advances suggest pre-computing and storing statistics extracted from second-order information and…

Machine Learning · Computer Science 2025-02-07 Xinbao Qiao , Meng Zhang , Ming Tang , Ermin Wei

In recent investigations, the problem of detecting edges given non-uniform Fourier data was reformulated as a sparse signal recovery problem with an l1-regularized least squares cost function. This result can also be derived by employing a…

Signal Processing · Electrical Eng. & Systems 2018-11-30 Victor Churchill , Anne Gelb

To date, the analysis of high-dimensional, computationally expensive engineering models remains a difficult challenge in risk and reliability engineering. We use a combination of dimensionality reduction and surrogate modelling termed…

Computation · Statistics 2022-06-20 Max Ehre , Iason Papaioannou , Bruno Sudret , Daniel Straub

We formalize the problem of machine unlearning as design of efficient unlearning algorithms corresponding to learning algorithms which perform a selection of adaptive queries from structured query classes. We give efficient unlearning…

Machine Learning · Computer Science 2023-07-24 Enayat Ullah , Raman Arora

We investigate the application of ensemble transform approaches to Bayesian inference of logistic regression problems. Our approach relies on appropriate extensions of the popular ensemble Kalman filter and the feedback particle filter to…

Numerical Analysis · Mathematics 2021-09-27 Jakiw Pidstrigach , Sebastian Reich

We consider the high energy physics unfolding problem where the goal is to estimate the spectrum of elementary particles given observations distorted by the limited resolution of a particle detector. This important statistical inverse…

Applications · Statistics 2015-11-18 Mikael Kuusela , Victor M. Panaretos

Petawatt class femtosecond lasers and x-ray free electron lasers (XFEL) open up a new page in research fields related to space and vacuum physics. One of fundamental principles can be explored by these new instruments is the equivalence…

Plasma Physics · Physics 2017-09-07 Masahiro Yano , Alexei Zhidkov , Ryosuke Kodama